论文标题
一般而言，热操作并非没有记忆
Thermal Operations in general are not memoryless
论文作者
论文摘要
所谓的热操作似乎描述了在环境反度$β$下进行状态转换允许的最基本，合理的操作集。但是，先验者要求实验者操纵非常复杂的环境，并控制其内部自由度。因此，社区一直在努力创建更多实验友好的操作。在[Perry等人，物理学。 Rev. x 8，041049]表明，对于在能量基础上对角线的，可以通过所谓的粗制操作来执行热作战，这只需要一个辅助量子，但本质上是马尔可夫人，而在精神上是经典的。在这项工作中，通过提供明确的反例，我们表明这是一个量子的内存。我们还充分表征了不需要内存的可能过渡，因为系统是量子。我们通过分析包括水平能量变化和每个步骤中的部分热量的任意控制序列来做到这一点。
So-called Thermal Operations seem to describe the most fundamental, and reasonable, set of operations allowable for state transformations at an ambient inverse temperature $β$. However, a priori, they require experimentalists to manipulate very complex environments and have control over their internal degrees of freedom. For this reason, the community has been working on creating more experimentally-friendly operations. In [Perry et al., Phys. Rev. X 8, 041049] it was shown that for states diagonal in the energy basis, that Thermal Operations can be performed by so-called Coarse Operations, which need just one auxiliary qubit, but are otherwise Markovian and classical in spirit. In this work, by providing an explicit counterexample, we show that this one qubit of memory is necessary. We also fully characterize the possible transitions that do not require memory for the system being a qubit. We do this by analyzing arbitrary control sequences comprising level energy changes and partial thermalizations in each step.
